Finding the Third Proportional to 74,638 and 162,404

Step by Step Solution

1. Step 1: Write the proportion equation
   74,638 : 162,404 = 162,404 : x
2. Step 2: Convert to fraction form
   74,638/162,404 = 162,404/x
3. Step 3: Cross multiply
   74,638x = 162,404 × 162,404
4. Step 4: Simplify right side
   74,638x = 26,375,059,216
5. Step 5: Solve for x
   x = 26,375,059,216/74,638
6. Step 6: Final answer
   x = 353,373.07